Search results for "MSC: 37C05"

showing 2 items of 2 documents

The Fatou coordinate for parabolic Dulac germs

2017

We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asymptotic expansion in the power-iterated log scale.

Pure mathematicsMonomialClass (set theory)Mathematics::Dynamical SystemsConstructive proofLogarithmTransseries[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]orbitsDulac germAsymptotic expansionDynamical Systems (math.DS)01 natural sciencesMSC: 37C05 34C07 30B10 30B12 39A06 34E05 37C10 37C1537C05 34C07 30B10 30B12 39A06 34E05 37C10 37C15Mathematics::Algebraic GeometryFOS: Mathematics0101 mathematicsMathematics - Dynamical SystemsMathematicsDulac germ ; Fatou coordinate ; Embedding in a flow ; Asymptotic expansion ; TransseriesdiffeomorphismsMathematics::Complex VariablesApplied Mathematics010102 general mathematicsFatou coordinate010101 applied mathematicsclassificationnormal formsepsilon-neighborhoodsEmbedding in a flowAsymptotic expansionAnalysis
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Dirac physical measures for generic diffeomorphisms

2016

We prove that, for a $C^1$ generic diffeomorphism, the only Dirac physical measures with dense statistical basin are those supported on sinks.

Theoretical computer scienceGeneral Mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]010102 general mathematicsDirac (software)[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Generic diffeomorphismsMSC: 37C05 37C20 37D30Dynamical Systems (math.DS)01 natural sciencesComputer Science ApplicationsPhysical measures0103 physical sciencesFOS: Mathematics010307 mathematical physicsDiffeomorphismMathematics - Dynamical Systems0101 mathematicsPhysics::Atmospheric and Oceanic PhysicsMathematicsMathematical physics
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